Question

In the diagram H represents the position of a hawk hovering above the ground, and M the position of a mouse on the ground.
The mouse moves to a new position N, which is 50 cm from position M. What is the maximum possible distance, in cm, from H to the new position N correct to the nearest whole number?

Answer 1

If we see mouse and hawk from above, it would as shown in the figure.

So, the distance between mouse and hawk on ground=$\sqrt{{\left(100\right)}^2+{\left(50\right)}^2}$= $111.8cm$

The mouse moves $50cm$ above from away from hawk in order to escape from it, so ground distance= $118.5+50$ = $161.8cm$

The hawk is wandering above $100cm$ ground

So, the distance between hawk and mouse=$\sqrt{{\left(100\right)}^2+{\left(161.8\right)}^2}$ =$190.2cm$.